Statistics and Probability Answers

Travel Time The following data represent the travel time (in minutes) to school.
Algebra course. Treat the nine students as a population
Amanda 39
Scot 45
Amber 21
Tim 9
Erica 11
Tiffany 12
Nicole 30
Mike 32
Glenn 39
Nicole 
(a) Determine the population standard deviation.
(b) Find three simple random samples of size 4, and determine
the sample standard deviation of each sample.
(c) Which samples underestimate the population standard
deviation? Which overestimate the population standard
deviation?

3. A sample of 400 students of undergraduate and 400 students of post graduate classes were taken to know their opinion about autonomous college. 290 of the undergraduate and 310 of the post graduate students favoured the autonomous status. Present these fact in the form of a table and test at 5% level, that the opinion regarding autonomous status of colleges are independent of the level of classes of students.

2. In a factory turning out razor blade, there is a small chance of 1/500 for any blade to be defective. The blades are supplied in a packet of 10. Use Poisson distribution to calculate the approximate number of packets containing blades with no defective, one defective, two defectives and three defectives blades in a consignment of 10,000 packets.

1. A chartered Accountant applies for a job in two firms X and Y. He estimates that the probability of his being selected in firm X is 0.7 and being rejected in Y is 0.5 and the probability that atleast one of his applications rejected is 0.6. What is the probability that he will be selected in one of the firms?

what is the probability of a family who has 4 cars having a crash during a year when the random car crash is 0.0451

A chartered Accountant applies for a job in two firms X and Y. He estimates that the probability of his being selected in firm X is 0.7 and being rejected in Y is 0.5 and the probability that atleast one of his applications rejected is 0.6. What is the probability that he will be selected in one of the firms?

A sample of 400 students of undergraduate and 400 students of post graduate classes were taken to know their opinion about autonomous college. 290 of the undergraduate and 310 of the post graduate students favoured the autonomous status. Present these fact in the form of a table and test at 5% level, that the opinion regarding autonomous status of colleges are independent of the level of classes of students.

In a factory turning out razor blade, there is a small chance of 1/500 for any blade to be defective. The blades are supplied in a packet of 10. Use Poisson distribution to calculate the approximate number of packets containing blades with no defective, one defective, two defectives and three defectives in a consignment of 10,000 packets

An urn A contains 2 white & 4 black balls. Another urn B contains 5 white & 7 black balls. A ball is transferred from urn A to urn B, then a ball is drawn from urn B. Find the probability that it is white

4) Test the significance of variation of the retail prices of the commudity in three principle cities; Bombay, Kolkata and Delhi. The four shops were chosen at random in each city and prices observed in rupees were as follows.
Bombay 16 8 12 14
Kolkatta 14 10 10 6
Delhi 4 10 8 8